{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "dd746c91",
   "metadata": {},
   "source": [
    "# Edge detection via 2D convolution\n",
    "\n",
    "In section 10.3.2, we discussed how to detect edges in images via 2D convolution. This notebook contains the fully functional code for the same."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "197600ee",
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch\n",
    "import torch.nn.functional as F\n",
    "import torch.nn as nn\n",
    "import cv2\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.image as mpimg\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "9aa8c5fb",
   "metadata": {},
   "outputs": [],
   "source": [
    "def load_grayscale_image(img_path):\n",
    "    \"\"\"\n",
    "    Takes an image path, reads the image as a gray scale image and converts\n",
    "    the resulting image to a tensor\n",
    "    \"\"\"\n",
    "    return cv2.imread(img_path, cv2.IMREAD_GRAYSCALE)\n",
    "\n",
    "def img_to_tensor(img):\n",
    "    \"\"\"\n",
    "    Takes a numpy array corresponding to an image and converts it to a Pytorch tensor\n",
    "    \"\"\"\n",
    "    return torch.from_numpy(img).float()\n",
    "\n",
    "def tensor_to_img(x):\n",
    "    \"\"\"\n",
    "    Takes a tensor, does min-max normalization to scale the tensor to a value between 0 and 255\n",
    "    and returns the resulting numpy array\n",
    "    \"\"\"\n",
    "    x_norm = ((x - x.min()) / (x.max() - x.min())) * 255\n",
    "    return x_norm.to(torch.uint8).numpy()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9d67bef0",
   "metadata": {},
   "source": [
    "First, let us load a sample image to detect edges on. As you can see in the image of the rubiks cube displayed below, there are both vertical and horizontal edges that need to be detected. We will have separate kernels for each of these cases. Let us first start with vertical edge detection."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "71c57e37",
   "metadata": {},
   "outputs": [],
   "source": [
    "img = load_grayscale_image(\"Figures/rubiks_grey.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "a305b998",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Let us take a look at the image and plot it\n",
    "fig = plt.figure(figsize = (10, 10)) \n",
    "plt.xticks([])\n",
    "plt.yticks([])\n",
    "imgplot = plt.imshow(img.astype(np.float32) / 255.0, cmap=\"gray\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "9985ac33",
   "metadata": {},
   "outputs": [],
   "source": [
    "img_tensor = img_to_tensor(img)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "67917904",
   "metadata": {},
   "source": [
    "The vertical edge detection kernel is a 2x2 kernel with +1 on one side and -1 on the other side, i.e.\n",
    "$$\n",
    "\\begin{bmatrix}\n",
    "-1 & 1 \\\\\n",
    "-1 & 1 \\\\\n",
    "\\end{bmatrix}\n",
    "$$\n",
    "\n",
    "When there is a vertical edge in the input image, we expect to find high values on one side of the edge and low values on the other side. Thus multiplying with the above kernel would result in a high value (positive or negative depending on which side has higher values in the input image) in the output image. On the other hand, if we have a smooth input image, the output value would be close to 0 because positive and negative values will cancel out."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "b950c166",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Kernel shape torch.Size([1, 1, 2, 2])\n",
      "Kernel: tensor([[[[-0.2500,  0.2500],\n",
      "          [-0.2500,  0.2500]]]])\n"
     ]
    }
   ],
   "source": [
    "# Define the vertical edge detection kernel\n",
    "vertical_edge_kernel = torch.tensor([[-1, 1], [-1, 1]], dtype=torch.float32)\n",
    "# Conv 2D kernels need to be of shape (out_channel, in_channel, k_x, k_y). Since we are defining a single kernel\n",
    "# out_channel = in_channel = 1. So we unsqueeze to add those extra dimensions\n",
    "vertical_edge_kernel = vertical_edge_kernel.unsqueeze(0).unsqueeze(0) \n",
    "vertical_edge_kernel = vertical_edge_kernel/ 4\n",
    "print(f\"Kernel shape {vertical_edge_kernel.shape}\\nKernel: {vertical_edge_kernel}\")  # 1x1x3x3\n",
    "vertical_edge_weight = nn.Parameter(data=vertical_edge_kernel, requires_grad=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "1ddb4580",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Let us convolve the edge detection kernel over the input image. \n",
    "# This can be done in 2 ways. \n",
    "\n",
    "# 2-D Convolution operations work on 4D tensors of the form (N, C, H, W).\n",
    "# Let us convert out tensor to this format\n",
    "img_batch = img_tensor.unsqueeze(0).unsqueeze(0)\n",
    "\n",
    "# 1) Using conv2d function\n",
    "out_tensor_1 = F.conv2d(img_batch, vertical_edge_weight, padding=0)\n",
    "\n",
    "# 2) Using Conv2d layer\n",
    "conv2d = nn.Conv2d(1, 1, kernel_size=[2, 2], stride=1, padding=0, bias=False)\n",
    "conv2d.weight = vertical_edge_weight\n",
    "with torch.no_grad():\n",
    "    out_tensor_2 = conv2d(img_batch)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "0b2145b0",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Let us assert both the ways yielded the same result\n",
    "assert torch.allclose(out_tensor_1, out_tensor_2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "e642bcee",
   "metadata": {},
   "outputs": [],
   "source": [
    "out_tensor = out_tensor_1[0][0] \n",
    "img = tensor_to_img(out_tensor)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "9c2cdc2f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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fvn21YMECnX322Vq2bBlv3gHLUYZRJzExMXr55ZfVuXNnlZWV6brrrmM7mij32GOPyePxaOLEiaajIMoFY0eU5557Tj6fTwMGDFBeXl7Ajw8g8lCGUSdut1s9evRQq1atVFJSolWrVunIkSOmYyGIOnXqFNQLegDBkJqaqo4dOyopKUm5ubn66KOPTEcCECb4iwYAiHpdu3bVsmXL1KVLlx9tvQXAbpRhADUyduzYsL0ELKLb0aNH1bt37xpfWfG5555T3759g5QKQKSjDAOoka+++qrOx4iJidGFF16o3Nzc6k3vgZOprKxUTk5OjR/Xvn17paamavHixfJ6vUFIBiCSsZcMgJCrX7++XnnlFV177bWmo8ASGzZs0BVXXKFdu3aZjgIgzFCGAYRcUVGRevfureeff950FFiiZ8+e2rhxo9q1a2c6CoAwwzIJACHn9/u1bds20zFgkeLiYm3dulVlZWWmowAIM5RhAEDU27Rpk6677jrTMQCEIZZJAAAAwFqUYQAAAFiLMgwAiHput1txcXHskQ3gRyjDAICo17t3b+3atUu//OUvTUcBEGYowwCAqBcfH6+WLVsqLi7OdBQAYYYyDAAAAGtRhgEAAGAtyjAAAACsRRkGAACAtSjDAAAAsBZlGDXSoUMHTZ8+XWlpaaajAAAA1BllGDWSkZGhkSNHKiUlxXQUAACAOosxHQCRZenSpcrMzFRZWZnpKAAAAHVGGUaN+Hw+lZaWmo4BwAJLlizRvn37VF5ebjoKgChGGQYAhKWcnBzl5OSYjgEgyrFmGAAAANaiDAMAAMBalGEAQFhKS0tTZmam3G7+VAEIHl5hAABhaezYsVq9erXq1atnOgqAKEYZBgCEJbfbzawwgKDjVQYAAADWogwDAADAWuwzDAAISy+//LI++eQTLvQDIKiYGQYAhKXy8nJ5vV45jmM6CoAoRhkGAISlm2++Wf/+97/ZTQJAUFGGAdRYx44d9dFHH+mXv/yl6SiIYi6Xy3QEABagDCNg3G63+vbtq8zMTNNREGQNGzZU3759lZKSYjoKAAB1QhlGwCQkJOiNN97QzTffbDoKAADAKaEMAwAAwFqUYQAB8dFHH2ndunWmYyCKJSQk6NJLL1V6errpKACiCGUYQEBMnDhRjz76qOkYiGKpqamaP3++LrnkEtNRAEQRyjAAAACsRRkGAISlL774QgsWLFBVVZXpKACiGJdjBgCEpUWLFuntt9+Wz+czHQVAFGNmGAAQlsaNG6c1a9aofv36pqMAiGLMDAMIOx9//LE+/vhj+f1+01FgUGpqqtLT07kSHYCgogyjzsrLy1VVVaWYGH6dEBgvv/yyXnjhBdMxAAAWYJkE6qSiokK9e/fW1KlTTUcBAACoMcow6uzw4cPyer2mYyCKDBw4UKNGjeL0OAAg6CjDAIyJi4v7yQ9HXX311br33nvl8XgMpAIA2IQyDMCY3/3ud1q/fj27BQAAjKEMAzCmfv36Sk1NZTkEAMAYyjAAAACsRRkGAACAtdgYFoAxy5Yt0+HDh1VeXm46CgDAUpRhAMasXLlSK1euNB0DAGAxlkkAAADAWpRhAAAAWIsyDACIaocOHdLhw4dNxwAQpijDAICoNmLECI0aNcp0DABhijIMAIhqPp9PPp/PdAwAYYoyDAAAAGtRhgEAAGAtyjAAAACsRRkGAACAtSjDAAAAsBaXYwYAhKW5c+dqxYoVKi0tNR0FQBSjDAMAwtKuXbu0a9cu0zEARDmWSQAAAMBalGEAQFgaNWqUFi9erMTERNNRAEQxyjAAICy1bt1aPXr0kMfjMR0FQBSjDAMAwpLjOKYjALAAZRgAEJaef/55DRgwQCUlJaajAIhi7CYBIOxs2LBBn332mfx+v+koMOjQoUM6dOhQ9delpaVatGiR9uzZYzAVgGhDGQZQK36/P2hl9dlnn9ULL7zAaXIcp6CgQNdee63pGACiDMskANTYunXrdPbZZ+uLL74IyvEfeOABvfvuu3xwCgAQdMwMA6ixkpISbdu2LWjHP/3001VSUiKXyxW05wAAQGJmGAAAABajDAMAAMBalGEAAABYizIMAAAAa1GGAQAAYC3KMAAAiFqpqamaNGmSsrKyTEdBmKIMo86SkpKUkJBgOgYAAD/SpEkTPfroozr77LNNR0GYYp9h1ElsbKxWrVqlzMxM01EAAABqjJlh1Inf79ecOXO0YsUK01EAAPiR/Px8TZ06VVu3bjUdBWGKmWHUic/n08yZM+Xz+TRo0CDTcQDgZ6WkpCgpKUnFxcWmoyBEvv32Wz344IOmYyCMMTMMALDGkiVL9Nxzz5mOASCMUIYBANaoV6+eEhMTTccAEEYowwAAALAWZRgAAADWogwDAADAWpRhAAAAWIsyDAAAAGtRhgEAAGAtyjAAAACsRRkGAACAtSjDAAAAsBZlGAAAANaiDAMAAMBalGEAtTZjxgxNmzYt4MedNWuWbrrpJvl8voAfGwCA/xZjOgCAyNWtWzd5vd6AH7eyslJlZWUBPy4AAP+LmWEAYWfy5MmaN2+ePB6P6SgAgChHGQYARJTJkydr/vz5vFkCEBCUYQBARGnTpo26dOkil8tlOgqAKEAZBgAAgLUowwCMGTNmjD744AMlJiaajgIgSqWnpysnJ0cDBgwwHQVhijKMgMjNzdWiRYtUXl6us846S5dffrliY2NNx0KItWjRQsOGDVNycvIp3b+goEB5eXlyHCfIyQDYqqKiQrt379b3339vOgrCFFurISDeffddrVixQnv27NGVV16pAQMGKD09XYWFhaajIYR69OihN95445TvP2/ePM2bNy+IiQDY7uDBgxo+fLjpGAhjzAwDAADAWswMA6i1d99997hTj3l5efrnP/+pIUOGGEyFaJWYmKhhw4bprLPOMh0FQBShDCNoYmNj5Xa75ff7TUdBAMXE/PCyUVVVpYceeui47+Xk5GjUqFE6//zza3Vsx3FUWVnJenP8pEaNGumFF15QQkKC9uzZYzoOIkhsbKyqqqr4fAJ+EsskEBQNGjRQTk6OxowZYzoKAmzOnDl6+eWXg3Lsw4cPq0OHDjVadwwAPycjI0Pbt2/XxRdfbDoKwhRlGAFTVVWlOXPmaM2aNXK5XGrVqpUaNmxoOhYCbN26dfrss8+Ccmyfz6evv/5aRUVFSklJ0ejRo5WZmRmU50Lk+f777/Xcc89py5YtpqMggsTGxio9PV3169c3HQVhijKMgKmoqNDdd9+tRYsWVd8WGxurhIQEg6kQaE888YRmzpz5o9vj4+MVFxcXkOcoLy9XcnKynnzySZ133nkBOSYin9fr1Z133qmVK1eajoII4jiOSkpK5PP5TEdBmKIMI6gmTZqkdevWcVEFCyxdulRPPfVUQI517733ql+/fvzxAlBnu3btUtu2bfXuu++ajoIwxQfoEHCfffaZZs2apdGjRyspKUnp6emaNGmSKioqVFRUpOeff56SE4XS0tJUUFAgx3H04osvau/evbU+1rFjx7Rjxw795S9/0ZdffhnAlABs4/P59M0335iOgTBGGUbAffjhh/r88881dOhQNWvWTElJSZo2bZokad++fZo9ezZlOAoVFxerpKREjuPoscceq/PxvvvuO91zzz0/ut3tdispKUnff/89v0cAgDpjmQSCoqioSJ06dQrYaXOEv8GDB2vs2LFBf55zzjlHe/bsUe/evYP+XACA6MfMMILCcRwVFBRoyZIl8nq91bcfO3aM2bwodezYsZA8z5EjRzRr1qw6LcNAZHv77bf15Zdf1mgP89zcXN1///0aPXp0EJMhmowdO1YDBgwwHQMh4HJquQP1sWPHlJKSEug8AAAEzfLly3XkyBFNmDBBBQUFvDnHcdauXauDBw9q6NCh2rRpkzp06KCqqiq1a9dOu3btMh0PteT1etWgQYMTfp9lEgAAa1x22WVauHBh9Q4DAEAZBgBYo7S0VOvXr9cDDzygUaNGacSIEaYjATCMMgwAsEpubq5mzpypbt26qUePHqbjADCMD9ABAKzjOI4uvvjiGn0ID0B0YmYYCJCePXvq6aefVmpqqukoQZeVlaXnn39ebdq0MR0FqLWKigpVVVWZjoEwMn36dD399NOmYyDEKMNAgGRlZek3v/mNkpOTTUcJutNPP1233nqrmjZtajoKAATMwoUL9d5775mOgRCjDAMAAMBalGEgQD7++GPdeOONys/PNx0l6L788ktdd9112rFjh+koABA0q1ev1o033qjDhw+bjoIg4qIbAAAA/yc5OVmtW7fWwoULtWbNGl1//fWmI6GOuOgGAADAKerfv782bdrEB4QtwtZqAAAAkh577DH17t1bkjR+/HitXr3acCKEAmUYAABYrUGDBsrKytKgQYPUvHlzrVu3Tu+88452795tOhpCgDIMAACs1q1bN73//vuSpLfffltXXHGF4UQIJdYMI+BGjBihhQsXKikpyXQUGBYTE6NXXnlF48ePNx0FAH7S448/rkcffVSS9Nvf/lb33Xef4UQINWaGEXBut1sej8d0DISJmJgYud287wYQXho0aKBzzz1XaWlpOnbsmFasWKEPPvhAX331leloCDG2VgMAANbp2bOnVq1apb59++rjjz82HQdBxNZqAIwbNmyYPvjgA6WmppqOgigwZcoULViwgDNQqJPNmzerV69e2rhx4wnvc9FFF+njjz9WixYtQpgMocYyCQBB16xZM3Xv3l1xcXGmoyBCtWvXTi1atNCHH36ojIwMde7cWS6Xy3SssNa5c2clJiZq1apVpqOEpaKiopNunZaWlqZevXrpkksu0cGDB+U4jj788EOVl5eHKCVCgTIMICRquSILkCT95je/0TXXXKO2bduajhIx7r33XrVu3Vpdu3Y1HSWiud1uvfjii5KksrIyZWZm6sCBA4ZTIZAowwCC7vXXX9cnn3yi/Px801EQoR5//HHNmTOHGbkamDRpEmdj6ujf//63zj33XEnSlVdeqSlTphhOhGBgzTDCQkpKiq666iqdfvrppqMgCPLz87Vp0yZVVVUF9LiNGzfWVVddpbS0tIAeF+Hn4MGD2rp1qxzH0fr167V06dLqsw3Jycm66qqrAr6uMyYmRpdffrnat2+vuLg4DRkyRFlZWSd9XPfu3XXhhRdWf/2f39PGjRsHNN/J5OXlaceOHad8/4suukjdunULYiIpOztbV111lZGfR20UFBRo48aN2rhxo/bt2yePx6PBgwerY8eOpqMhkJxa8nq9jiQGIyCjQ4cOjt/vdy677DLjWRiRM7Kzsx2fz+d0797deBaGudG+fXvH5/M5Q4cODehxk5OTnfz8fOeBBx5wUlNTnYKCAmfSpEknfdyCBQucdevWVX/9n9/T7Oxs4z+rEw2Xy+Vs3brVmTt3blCf55133nF8Pp/jOI7Tp0+fn72v2+02/nP573HrrbdWd6AZM2aEXT7GiYfX6/3ZTsvMMICI9fnnn+sXv/jFz34aHAiEwsJCnXfeefr73/9+0vtOmDBBV111VfXX//k9/fzzz4MZMSLceuutuuGGG056v8suu0ybN2/WGWecEYJUNTdy5Ejl5OSoUaNGpqMgACjDMK5v374aOnQonwxHjZWWlmrHjh0qKyszHQUGFRYW6qWXXtLXX38dtOfw+/3Kzc1VQUHBSe971lln6Zxzzqn++j+/p6WlpUHLFwhvvfVWUPbb7d+/vy6//HJJ0oEDB7Ru3Tq99NJL+uabb074mKNHj+rTTz81/m87IyNDI0eOVHJysnbs2KG5c+eqpKREjRo1Utu2bdneL1qwTIJhcsTGxjqvvvqqU1FR4VRUVDiDBw82nokR+cPlcjmxsbHGczAieyQnJzuHDh1y7rvvvho97q233nI+//xz4/nDZcybN89Zs2aN8Ry1GSNGjHAqKyudNm3aOJKchIQEZ9++fY7jOE5RUZHTuHFj4xkZJx8sk0DYat26tbZv3673339fbdu2Vdu2bfXBBx+YjoUocMkll+irr75SRkaG6SiIYMXFxTrvvPP0xBNPmI4S0caNG6chQ4aYjgGcEFurwYj+/furf//+OvPMM1VSUhLU05uwT7169dS6dWvFxsaajq9QeqQAACAASURBVIII5jiO9u/fX+PHLV26lKst/pdI31LR7Xbrxhtv1EcffaRPP/3UdBwEAWUYRlx//fW6+eabVVpaKp/PZzoOANRYXFycPB7Pj9YCz54921AiBJrf71dZWZnuu+8+nX766ZThKMUyCRiTl5entm3basmSJaajAECNTZs2TStWrFBMDPNK0WrRokXKysri7GWUowwjpJKTkzV58mSdc8458vl8Onz4sPFPCyP04uPjdccdd6hnz56mowA1lpSUpMmTJ6usrEwLFiyQ3+83HQl1lJ6errvvvlvNmjU77vaysjIdPnyYM5hRjjKMkGrYsKEefvhhnXfeeaajwKD4+HhNnDhRvXr1Mh0FqLEGDRpo2rRpOnTokB599FHKcBQ4URmGHTi3AyDkjh07po4dO6q8vNx0FADQypUrlZ6erqKiItNRYABlGIARXq/XdASgVo4dO6YHHnhAa9euNR0FAVJVVaXCwkLTMWAIZRhAyLlcLqWlpamkpEQlJSWm4wA1UlxcrEceecR0DAABwpphACGXnJysDRs2aPz48aajAAAsx8wwgJArKyvTww8/rPXr15uOAgCwHGUYQMhVVFTo2WefNR0DAACWSQAAAMBelGEAIZeYmKhZs2bp0ksvNR0FAGA5yjCAkIuLi9Ovf/1rderUyXQU4JS43W5lZGSoYcOGpqMACDDKMAAAJ9GwYUN9/vnnuuWWW0xHARBglGEAAE7C5XLJ4/HI7ebPJhBt+FcNIOR8Pp+2bt2qI0eOBPzYmZmZatWqVcCPCwCITmytBiDkiouL1adPHzmOE/Bjv/766+rcubP8fn/Ajw0AiD7MDAMwIhhFWPrhdPbq1at1xRVX6MCBA0F5DgBA9KAMI6TKy8u1Zs0aHT161HQURLHy8nIdOXJEVVVVpqMgwrhcLnXq1ImlNoBFKMMIqSNHjqhPnz56++23TUdBFOvfv78+/fRTtW7d2nQURJj4+HgtXbpUEyZMMB0FQIhQhgFEldtuu01Tp041HQMAECH4AB2AqJKTk8OMMGrN7/dr9erVys3NNR0FQIhQhgEA+D8VFRW6+uqrTccAEEIskwAAAIC1KMMAokp2draaN2+uJUuWqLi42HQcAECYY5kEgKjyxBNPaPfu3briiitMRwEARABmhgEAAGAtyjAAAACsRRkGAACAtSjDAAAAsBZlGEBUaNmypUaNGqW0tDTTUQAAEYQyDCAqnH322fr73/+uVq1amY4CAIgglGEAAABYizIMAAAAa1GGAUSVsrIylZeXm44BAIgQXIEOQFS59NJLlZOTYzoGACBCUIYBRJVvv/1WXq/XdAwAUcLv9+tvf/ub9uzZYzoKgoQyDAAAcAJ+v18zZsyQJCUkJBhOg2BgzTAAAACsRRkGAAA4AbfbrUmTJmno0KGmoyBIKMMAAAAn4Ha7NWbMGA0aNMh0FAQJZRgAAADWogwDAADAWpRhAAAAWIsyDAAAAGuxzzCAiHfPPfeoX79+pmMAACIQZRhAxLv00kvVs2dP0zEAABGIZRIAAACwFmUYAAAA1qIMAwAAwFqUYQAAAFiLMgwg4k2aNEn333+/6RgAgAhEGYYxCQkJ6t69u9LS0kxHQYT77LPPtG7dOtMxAAARiDIMY1q2bKmVK1fqwgsvNB0FAABYijIMAAAAa1GGAUS8rl27qlOnTqZjAAAiEFegAxDxZs2axRXoAAC1wswwAAAArEUZBgAAgLUowwAAAD/DcRw5jmM6BoKENcMAAAAnUFVVpcGDB6u4uNh0FAQJZRgAAOBn7NixQ9IPF4tC9KEMAwAA/AyPx8MyiSjGmmEAAIAT8Hg8eu+99zR16lTTURAklGEAAIATcLlcat26tZo2bWo6CoKEMgwAAABrUYYBAABgLT5ABwAAcAJ+v19z5szRzp07TUdBkFCGAQAATsDv9+vhhx+WxNZq0YplEgAAALAWZRgAAADWogwDAADAWpRhAAAAWIsyDAAAAGtRhgFEvO+++04FBQWmYwAAIhBlGEDEu+qqq3TzzTebjgEAiECUYQARr7y8XOXl5aZjAAAiEGUYAAAA1qIMAwAAwFqUYQAAAFgrxnQAAACASFJQUKA9e/bI5/OZjoIAYGYYAACgBv7xj3/ovPPOY0vHKEEZBgAAqAHHceT3+03HQIBQhmHE3r17tW3bNtMxAKBGmjdvrg4dOsjlcpmOAiBAKMMw4sEHH9QVV1zBeisAEeXOO+/UsmXLFB8fbzoKgAChDAMAAMBalGEAAABYizIMAAAAa1GGAQAAYC3KMAAAJ1FRUaEPPvhAX3/9tekoAAKMMgwAwEkUFRVpyJAheuONN0xHARBglGEAAABYizIMAAAAa1GGAQAAYC3KMAAAAKxFGQYAAIC1KMMAAACwFmUYAAAA1ooxHQAA6uqKK67QgAEDTMcAAEQgyjCAiPf73/9ePXv2NB0DUS4+Pl4xMfzZtEVcXJwcx1FlZaXpKAgy/lUDAHASjRo10qeffqoWLVro2LFjpuMgyFwul/79739r69atGj9+vOk4CDLWDAMAcBLl5eV68803tX37dtNRECJNmjRRamqq6RgIAcowgIhXUlKi0tJS0zEQxUpKSnTvvffqww8/NB0FIVJaWsrriiVYJgEg4l111VW65JJLNG/ePNNRAEQBx3F00UUXqaqqynQUhAAzwzBu2LBhuv32203HQATzer2s4wQQUIWFhSouLjYdAyFAGYZxV199tcaOHSuXy2U6CgD8JJfLpUaNGikxMdF0FAABxjIJAABOolGjRtq8ebMaN26s/Px803EABBBlGEDEGzt2rPr37286BqKYy+VScnKy4uLiTEcBEGCUYQAR7+KLL1Z2drbpGACACMSaYQAR7+qrr9aoUaNMxwAARCDKMICIV15eroqKCtMxAEQJl8ulP/7xj7rppptMR0EIsEwCAADgf/Tu3Vvbtm2r/jo5OVktWrRQbGyswVQIBsowAADAf3EcR4MHD5bjONW3DR8+XM8++6xiYqhO0YZlEjDm8OHDuummm7RmzRrTUQBEgQkTJujBBx8M6nPMmzdPd9xxhyorK4P6PDCvqqpKPp+v+mu3200RjlKUYRhTVFSkl19+WXl5eaajAIgC/fr10+DBg4P6HOvXr9eCBQuOK0kAIhtlGAAAANaiDCMstG7dWm+++aa6du1qOgoi3F//+ldNmTLFdAxEmaKiIl1//fVq0KCBXnzxRT5EBUQRyjCM2717tw4cOKChQ4cqOztbZ511lulIiEBer1fr169Xjx49dP7555uOgyhTUVGhxYsXKz4+XoMGDZLH4zEdCUCAUIZh3B/+8Adde+21chxHM2bM0D//+U/TkRCBVq9era5du2r79u2mowAAIghlGDXmdrs1e/ZsTZw4MWDH3L17twYNGsTOEjhl06dP11/+8pfjbnMcR+PGjdNDDz0kt9utF154QZMmTTKUEECk69+/v5YuXarTTz/ddBQEEXuEoMZcLpd69+4d0GMWFxdr2bJl6t+/vxo1aiRJ6tChgyRpy5YtAX0uRIeEhISfXLe5evVqST+8aUtISFBcXFyooyGK7dmzRxs3blSPHj305Zdf6ptvvjEdCUHUrFkzXXTRRapXr57pKAgiyjDCyt13313937NmzZLb7Vb//v0NJkK4+t3vfvez3/f7/fr1r38dojSwxTPPPKNFixZp165dmjhxop599lnTkQDUEWUYYeuOO+4wHQFABPnDH/6ghISEoD9Pfn6+BgwYoN27dwf9uWDW8uXL1a9fPx04cMB0FAQRZRg15jiOVq5cGfTlCyyPCC8NGjRQ9+7dlZOTo++++850HOBHQvXhyYqKiurlOImJicrOztaWLVt06NChkDw/Qufo0aM6evSo6RgIMj5Ahxrz+/26+eabNWPGDNNREEJZWVlatmyZzj33XNNRgLDRtGlTLV26VBdeeKHpKABqiZlhAKdk27Zt6tKli3bu3Gk6ChA2Dh48qG7dumnv3r2mowCoJcowgFNSUlKi9evXm44BhJWKigpt3LjRdAwAdcAyCQAAAFiLMgwAAABrUYYBAGHpnHPO0fDhwxUTw4o+mONyuTRkyBD16NFDfr9fb775ptatW2c6FgLI5TiOU5sHHjt2TCkpKYHOAwCAJOm+++7T2LFjlZmZqeLiYtNxYKmYmBht375dbdq0UVlZmTIzM9l3OMJ4vV41aNDghN9nZhgAEJaefPJJdevWTd9//73pKACiGOeeAABhqbCwUIWFhaZjwGKZmZm6+OKLlZKSoi+//FLLly/nzVkUogwDAAD8H7fbrbi4OElSdna2nnrqKUnSv/71L02YMMFkNAQJZRgAAOD/DBw4UHPmzJH0w+W2Ef0owwBq7IwzztC1116rV155RQcPHjQdBwACJiEhQaeffrrmzJmj/Pz86tvXrFljMBWCiTIMoMYyMjL06KOPatWqVZRhAGHH5XIpKSlJZWVl8vl8ql+/vkpLS1VVVXXSx1ZUVMjr9erRRx/V9u3bQ5AWprGbBAAAiCotW7bUjh07NGzYMGVkZGjXrl0aNGjQKT12+fLlysjI0M6dO4OcEuGCfYYB1MjIkSPVv39/jRw5Ur169dLq1aslSWPGjNG3336rN954w3BCALZLSUnRuHHjFBsbK5fLJZ/PJ7fbLZfLVX2fffv26cUXXzSYEqFysn2G5dSS1+t1JDEYDMvGm2++6Xi9XsdxHKdnz57Vt2/YsMGZP3++8XwMBoPxn/Hkk086n376qeN2u505c+Y4BQUF1T1m7dq1TlpamhMTE2M8JyO44z9/s06EZRIAauSGG27QtddeazoGAJzUlClTNGDAAPn9fo0ZM0aXXnpp9fe6dOmivLw8nX/++QYTIhxQhmHcDTfcoEmTJpmOgVNUWlqqzZs3a/LkycrLyzMdBzglWVlZeuyxx9SiRQvTURBCZWVlKikpqf7vnTt3avLkyZo8ebKefvppJSUlafz48brtttsMJ4VRLJNgmB5PP/20s3z5csflchnPEorhdrudZs2aOfXr1zeWITk52WnevLnTvHnzWuWIi4tzmjdv7sTGxlbf9t577znPPfec8Z8vg/FT46KLLnIcx3E6d+5sPAsjPEbXrl2dAwcOOOXl5c7HH3/8o9c0RvSMky2ToAwzjI/Y2FgnLi7OeI5QjcaNGzv5+fnOuHHjjGW4//77ndLSUqe0tLRWObKzs53S0lKne/fu1bfFxcXxh4QRtoMyzPjf4XK5nISEBOeTTz5xfD6fU1pa6nTp0sV4Lkbgx8nKMPsMI2Di4uL08MMPa9WqVVq4cOEpP66ysjKIqcJPcXGxpkyZonXr1v3k92+55Ra1aNFCDz74YNAyLF26VN98840kadWqVTXOsWvXLt15553as2dP9W0VFRXBCQsEwLZt23T77bdr7969pqOEzOjRo9WoUSP9+c9/Nh0lpEaMGKEOHTroT3/6k2644QZlZGTogQcekPM/m2c5jqOysjL5/X653W4lJCQct9sELMLMMCNQo169es7hw4ed6dOnG88SyWPmzJnOu+++a3zZyKuvvups3rzZeI5IHS1atHCaNm1qPAfjxKNly5ZORkaGk56eHpU7Cjz99NPO22+/bTxHqMff/vY3Z8+ePU5sbKzz0ksvOdu3b3fcbvcJ7//aa685hw4dchzHcYYMGcK/2ygczAwDEeY/Hyb831kMRJaFCxdq9+7duuaaa0xHwU9wu91655139Itf/EKVlZVq37591H0gdPz48aYjRIQbbrhBAwcO1LvvvqsFCxZo0aJFGjZsmOlYCCHKMGqtT58+uvXWWyVJ7733nl599VWNHTtWubm5hpNFNp/PZzqCJOnpp59Ww4YNKeW15PF45PF4TMfAT+jatavuuOMOtWrVSjExMVH7Ox4uryWh9o9//EPvv/++qqqq9Oyzz+qtt96S3+8/7j6TJ09WvXr19OCDD8rn81X/rPh3ayfKMGqtTZs2uuGGGyRJBQUFmjt3rhYsWGA4FQJl5cqVpiNEtF27dmn//v2mY+B/ZGRkqFevXtWvXV6vV3l5edZ9diGarV27tvq/P/vss5+8zwUXXKCUlJSgfjYDkYMyDABBMHz4cNMR8BNef/11denSpfrrxYsX68Ybb4za2WEAJ8dFNwCEpWbNmmnBggXq06eP6Si14vywdaXpGPg/nTp10r/+9S+1bdtWLpdLjuNowoQJmjlzJv8/Wapdu3b617/+pfbt22vjxo0aOnQoy/wsRRkGEHZat26tTp066YwzzlC9evVMx0EUOO200zRkyBClpKSosLBQOTk5Wrx4sT7//HPT0WDAzp07dfToUQ0ZMkSNGzfW0aNHtXDhQhUUFJiOBgNYJgEg7Nx777264IIL1K5dO1VVVZmOgyjz4Ycf6sorrzQdAwbdcccd6tmz5wn3WYddKMMAAuKZZ57RgQMH9NBDD5mOAhzn8ccfV9++fU3HABCmWCYBICC6d++ujh07mo6BKJWRkaHzzz9fbnfN/2ydd9556ty5syRpw4YN2rp1a6DjAYhgzAwDAMLeb3/7W40YMUJt2rRRWVlZrY/zm9/8RuvXrw9gMgCRjjIMICBGjRql0tJS0zEAAKgRyjCAgNi4cWPAjrVlyxZ5PB62vIJiY2PVr18/lZeX64MPPqi+klhiYqL69OmjzZs36+DBg4ZTIpy0b99ep512mlasWMFrCE4Ja4YBhJ0nnnhCt9xyi7WXk8X/Lzk5WW+++aa+++47/frXv1ZFRYUkqWnTplq8eLEuuOACwwkRbsaOHas5c+YoJob5PpwayjBgoTFjxuiDDz5QYmKi6Sg/6Y9//KPefvtteTwe01FgmNfrVXZ2tubOnXvc7QcPHlS3bt20dOlSQ8kQrv785z/r0ksvZVtGnDLeNgEWKigoUF5eXvUp50AYMGCAiouLtWbNmjofq1WrVmrfvr1cLlcAkiEc9O/fX6Wlpfrss89q9Difz6dNmzb96PaKioqALs1B9Ni/f7/2799vOgYiCGUYsNC8efM0b968gB7zscceU25urq6++uqAHhfR4bHHHtPXX39dq4tduN1uLm8NIGhYJgEACFsNGzbUunXrdNNNN5mOAiBKMTMMAAi6xYsX69tvv63x4zwej7KyspSamhqEVABAGQYAhMADDzwQkudxuVyKiYlRVVUVyyoAnBKWSQAAosYvf/lL7dixQ7169TIdBUCEoAwDAKKG1+vVkiVLlJ+fbzoKgAjBMgkAQNTYt2+fxo8fbzoGgAjCzDAAAACsxcwwgLCRlJSk22+/XR07djQdBQBgCcowgLCRkpKihx9+WI7j6KuvvjIdBwYlJyeroqLCdAxYwuPxqH79+lwC3lIskwAQdu6++2717dtXVVVVpqPAgKSkJG3YsEF33nmn6SiwRO/evZWXl8dZKUsxMwwg7JSUlMjr9ZqOAUMqKir0zDPPaN26daajwBKxsbFq1KiR6RgwhDIMAAgrFRUV+utf/ypJSktLM5wGQLRjmQQAAACsRRkGEHaGDx+ue+65R243L1GovfT0dD3++ONKT083HQVAGOMvDYCQSk5OVvPmzeVyuU54nwsvvFC33HILZRh10rJlS02cOFEtW7Y0HQVAGOMvDYCQuu2227RhwwalpKSYjgIAAB+gQ934fD7de++9+uSTT0xHQYTweDyKj4//2ZnhuXPnaunSpfL5fCFMBgCwEWUYdeLz+fTaa69p7969pqMgQhQWFmrPnj3y+/0nvM8nn3yi119/PYSpAAC2YpkEgJB64YUX1LVrV/YRBgCEBcowgJByHIflDwCAsEEZBgBEpZKSEm3ZskUlJSWmowAIY5RhAEBUWr9+vc455xytX7/edBQAYYwyDACIWo7jmI4AIMxRhgEAQNRo3bq1Onbs+LPbNwL/jTIMAACixu9//3stXLhQMTHsHotTQxkGAESlDh06aPny5erQoYPpKADCGG+bAISFNm3aqFOnTnK7eY+OwGjYsKEGDBhgOgZCbOfOnVqzZs1J14t7vV6tWLFChYWFatq0aYjSIRxRhgGEhbFjx2rixImmYwCIcDNnzjyl+23dulX9+vWTJA0cODCIiRDumIIBEBZmzZqlyy+/XJWVlaajAIhgkydP1ltvvcWaYZwyflMAhIWvv/5aVVVV8vv9pqMAiGBnnnmmzj33XHaTwCljZhgAAADWogwDAADAWpRhAEBUys/P1xtvvKH8/HzTUQCEMcowACAqbd++Xdddd522b99uOgqAMEYZBgBEpS5dumjbtm3q0qWL6SgAwhi7SQAAolJiYqKysrJMxwAQ5pgZRq3ExsYqNjbWdAwAAIA6YWYYNebxePT+++/r7LPPNh0FAACgTijDqJXmzZsrNTVVFRUVpqMgTMybN09Hjhyp9eOzs7PVr18/eTyeAKYCAODnUYZRK6WlpRRhHOeRRx6p0+MvvfRSTZgwgUuoAgBCijXDqDGfz6cLLrhAd911l+koiCIPPfSQevTowZssAEBIUYZRK99++628Xq/pGIgixcXFys/Pl+M4pqMAiHLDhw/XjTfeaDoGwgRlGAAAWOWmm27S7bffbjoGwgRlGAAAANaiDAMAAMBalGHUSmpqqho0aGA6BgAAQJ2whxFqzOPx6MMPP1S7du1MRwEAAKgTZoZRK4mJiYqLizMdAwAAoE4owwCAsOXz+bR//34VFRWZjgILHD58WPn5+aZjIMRYJgEACFuFhYXq2LGjfD6f6SiwwJVXXqm1a9eajoEQY2YYEef+++9nf0jAIhUVFZRhhERFRYWqqqpMx0CIUYYRUVwul6688kpdcMEFpqMAAIAoQBkGAACAtVgzjIjiOI5+//vf82EaAAAQEJRhRJxly5aZjgAgBE477TQ1btxY27dvl9/vNx0HQJRimQQAICyNGTNGK1asUL169UxHARDFKMOoMb/fr9tuu01PPPGE6SgAopjL5ZLL5TIdA0CUY5kEasxxHH300Uc688wzTUcBAACoE2aGAQAAYC3KMAAAAKxFGQYAAFGrXr166t+/v5o0aWI6CsIUZRgAAEStM844Q8uXL1efPn1MR0GY4gN0qDG3263XX39dnTt3Nh0FAACgTpgZRo25XC517NhRGRkZpqMAAPCziouLtXTpUh06dMh0FIQpZoYBAEDUOnDggC6//HLTMRDGmBkGAACAtZgZBgAAUSMnJ0d+v19+v990FEQIyjAAAIgac+bM0Zw5c0zHQARhmQQAAACsRRkGAACAtSjDAAAAsBZlGAAAANbiA3QAAMBaw4YN0wUXXGA6BgyiDAMAAGtNmDBBffr0MR0DBrFMAgAAANaiDAMAAMBaLJMAAABWKS4ultvNfCB+QBkGAABWGTVqlFwul+kYCBO8LQIAGNWtWzdNnTpVycnJpqPAEt9//72Ki4tNx0CYoAwDAIzq3LmzpkyZoqSkJNNREIU8Ho+aNm2q+Ph401EQpijDAAAgarVp00a5ubkaNGiQ6SgIU5RhAIBRK1eu1KRJk+T1ek1HQRRyuVyqV6+ePB6P6SgIU3yADgBg1JYtW7RlyxbTMQBYiplhAAAAWIsyDAAAAGtRhgHUSf369ZWVlVXnT2o3adJEZ555Jnt/AgBCijIMoE569+6trVu3ql27dnU6zl133aUVK1YoLi4uQMkAADg5yjCAOnG5XIqJianzjO7cuXM1duxYVVVVBSgZAAAnRxkGEBa++OILLV68WD6fz3QUAIBFKMMAAACwFmUYAAAA1qIMAwCintfr1aeffqrvv//edBQYVK9ePXXv3l0NGzY0HQVhhDIMAIh6a9asUc+ePfXVV1+ZjgKDsrKy9Omnn6pHjx6moyCMUIYBAABgLcowAAAArEUZBgAAgLUowwCAqNe9e3etWbNGZ511lukoAMIMZRgAEPUaNGigbt26qX79+qajAAgzlGHUiuM4piMAAADUGWUYNebz+TR48GD96U9/Mh0FAACgTijDqJXc3Fzt37/fdAwAOKGjR4/qtdde09GjR01HARDGKMOoNcdxVPX/tXd/oVXXfxzH32d/XJarbKPCQtcqxy4qMYkIoosIlWLQXXSRdFUUQUNBoi4ik8CiICiK/tx0GUJ1U1kQaVhajbJcG9HWzbRyy45T1v5+fxc/fvLr96OEeeb3bO/HAz4XTv2eVyD65Nt358zMeGSCmmtoaIjGxsayZ1CixsbGqFQqZ3WNwcHBuPfee33QBvCPxDDztnv37rjuuuvi6NGjZU9hidmxY0d89NFHgjipCy64IA4cOBCPPPJI2VOABMQw8zY+Ph5DQ0MxMzNT9hSWiFOnTsWbb74ZY2NjsXr16rO+M8ji1NDQEB0dHbFy5cqypwAJiGGgbvzxxx/x0EMPxb59+6JSqURLS0s0NPhrKqOpqamYnZ2t2bWmp6cjImLZsmXR3Nxck+uyOBRFEZOTkzX788TS418ZoC6tWbMmBgYGoqenp+wpnGMnT56MG2+8MV588cWaXO+ee+6JLVu2RETEu+++Gy+99FJNrsviMDQ0FNdee218+OGHZU+hTjWVPQDgf/3neeH7778/li9fXvYczrGiKOLo0aNx4sSJmlzv2LFjMTY2FhERl156abS3t9fkuiwOMzMzMTIyEhH//rPw/PPPx/DwcMmrqCdiGKg7b7/9dvT19cV9991X9hRK8p9Pijt16lRNrjc7OxsnT56M888/P5qammLFihURETE9PR2Tk5M1eQ3q38jISGzduvX/vj47OxsTExMxNzdXwirK5jEJAOrKihUroq+vLyIi1q9fX5Mg3rt3b3R2dsb3338fGzdujOHh4RgeHo4XXnjhrK/N4vfZZ5/FVVddFYcOHSp7CiUQw8BZ+fHHH2PHjh3xyy+/1PS6x48fj507d8batWvjgQceqOm1qW+VSiXa2toiImJsbKwm72U+PT0dx44di1deeSXee++9aG9vj/b2hEPXwwAAB55JREFU9rjlllvisccei4svvvisX4P6d/nll8cTTzwRV1999V++PjU1FaOjo94dKatinqrVahERjuM4C3peffXVYv/+/UWlUil9i3NuTmtrazE6Olo8+eSTC3L9u+66q/j999+L2dnZoiiKYmpqqujo6Cj9v9tZ+LNu3bqiKIpi8+bNp7/26aefFnv27Cl9m7Nwp1qt/mPTemYYqGuPPvpoNDQ0+KRDauaDDz6Izs7O+OKLL6Krq6vsOUDJxDBQ1yYmJsqewAK7+eab484774xdu3bF+Pj4gr/ezMxMVKvVePbZZ6OtrS3m5ubi+PHjC/66lO/IkSOxffv2+OGHH8qeQh0RwwCUat26dbF169Z4+eWXz0kMR0QURRFvvPHGOXkt6sdvv/0Wu3btioiI5ubmaGtri2XLlnlHkeR8Ax0AkM769etjaGgobrrpprKnUDJ3hgEo1b59+6K3tzeq1WpERPz555+xffv2+Pbbb0texlLW2NjoQ32ICDEMQMkOHz4chw8fPv3j6enpMz7C0NTUFFdccUWMjo7W7IM5gJw8JgHAonPllVdGf39/9PT0lD0FWOTcGQZg0RkdHY0HH3wwDhw4UPYUFqHe3t644447IiLimWeeiU8++aTkRZSpUszzzTtPnDgRF110Ua33AAAsiJaWlujo6IjXXnstbr311oiIuO2222Lv3r0lL2MhVavVuPDCC//2590ZBgBS6O7ujq+++ioaGxvLnkIdEcPAordz587TnyS2bdu2+Pnnn8sdBNSdbdu2xaZNm06H8ODgYDz++OPR399f8jLKJoaBurZmzZpYvnx5DAwMRGdnZzQ3N8fg4OBffs2qVauis7MzIv79v0Hr0SWXXBKrV6+O/v7+mJqaKnsOpNHS0hLd3d2xadOmuP322yMi4qefforPP/88du/eXfI66kIxT9VqtYgIx3GcBT1vvfVW8d133xWVSqV45513ioMHD5a+aT5ny5YtxeTkZNHR0VH6FsfJdLq6uoqZmZm/NMzmzZtL3+Wcu1OtVv+xad0ZBurac889F62trVEURTz11FNx3nnnlT1pXj7++OPo6emJX3/9tewpkEZvb2/cfffd0djYGE8//XTs378/IiK+/PLLkpdRT8QwUNf++1PI+vr6SlxydkZGRmJkZKTsGZDKDTfccPpdI7755pt4//33S15EPfKhGwAApOV9hgGAJamrqysuu+yyiIjo7++P0dHRkhdRhjO9z7AYhkVk5cqVsWHDhjh48GBUq9Wy5wBA3TtTDHtMAhaR66+/Pvbs2RPd3d1lTwGAJcE30MEi8vXXX8eGDRtiYGCg7CkAsCR4TAIAgCXLYxIAAPA3xDAAAGmJYQAA0hLDAACkJYYBAEhLDAMAkJYYBgAgLTEMAEBaYhgAgLTEMAAAaYlhAADSEsMAAKQlhgEASEsMAwCQlhgGACAtMQwAQFpiGACAtMQwAABpiWEAANISwwAApCWGAQBISwwDAJCWGAYAIC0xDABAWmIYgCVt7dq1cc0115Q9A6hTTWUPAICF9Prrr8fExERs3Lix7ClAHXJnGIAlrVKplD0BqGNiGACAtMQwAABpeWYYgCXt4Ycfjrm5ubJnAHVKDAOwpB06dKjsCUAd85gEAABpiWEAANISwwAApCWGAQBISwwDAJCWGAYAIC0xDABAWmIYAIC0xDAAAGmJYQAA0hLDAACkJYYBAEhLDAMAkJYYBgAgLTEMAEBaYhgAgLTEMAAAaYlhAADSEsMAAKQlhgEASEsMAwCQlhgGACAtMQwAQFpiGACAtMQwAABpiWEAANISwwAApCWGAQBISwwDAJCWGAYAIC0xDABAWmIYAIC0xDAAAGmJYQAA0hLDAACkJYYBAEhLDAMAkJYYBgAgLTEMAEBaYhgAgLTEMAAAaYlhAADSEsMAAKQlhgEASEsMAwCQlhgGACAtMQwAQFpiGACAtMQwAABpiWEAANISwwAApCWGAQBISwwDAJCWGAYAIC0xDABAWmIYAIC0xDAAAGmJYQAA0hLDAACkJYYBAEhLDAMAkJYYBgAgLTEMAEBaYhgAgLTEMAAAaYlhAADSEsMAAKQlhgEASEsMAwCQlhgGACAtMQwAQFpiGACAtMQwAABpiWEAANISwwAApCWGAQBISwwDAJCWGAYAIC0xDABAWmIYAIC0xDAAAGmJYQAA0hLDAACkJYYBAEhLDAMAkJYYBgAgLTEMAEBaYhgAgLTEMAAAaYlhAADSEsMAAKQlhgEASEsMAwCQlhgGACAtMQwAQFpiGACAtMQwAABpiWEAANISwwAApCWGAQBISwwDAJCWGAYAIC0xDABAWmIYAIC0xDAAAGmJYQAA0hLDAACkJYYBAEhLDAMAkJYYBgAgLTEMAEBaYhgAgLTEMAAAaYlhAADSmncMF0VRyx0AAFBzZ2rWecfw+Pj4fH8rAACcE2dq1koxz1u8c3NzceTIkWhtbY1KpTKvcQAAsBCKoojx8fFYtWpVNDT8/f3feccwAAAsdr6BDgCAtMQwAABpiWEAANISwwAApCWGAQBISwwDAJCWGAYAIC0xDABAWmIYAIC0xDAAAGmJYQAA0hLDAACk9S/vvDJqa04yEgAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1000x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Let us take a look at the image and plot it\n",
    "# Let us do some thresholding to plot the edges more distinctly\n",
    "ret, thresh_img = cv2.threshold(img, 140, 255, cv2.THRESH_BINARY)\n",
    "fig = plt.figure(figsize = (10, 10)) \n",
    "plt.xticks([])\n",
    "plt.yticks([])\n",
    "imgplot = plt.imshow(thresh_img, cmap=\"gray\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "65162af7",
   "metadata": {},
   "source": [
    "The horizontal edge detection kernel is very similar to the vertical edge detection kernel, except with rows and columsn interchanged. Essentially, it is the transpose of the vertical edge detection kernel, i.e.\n",
    "$$\n",
    "\\begin{bmatrix}\n",
    "-1 & -1 \\\\\n",
    "1 & 1 \\\\\n",
    "\\end{bmatrix}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "396e6e2d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Kernel shape torch.Size([1, 1, 2, 2])\n",
      "Kernel: tensor([[[[-0.2500, -0.2500],\n",
      "          [ 0.2500,  0.2500]]]])\n"
     ]
    }
   ],
   "source": [
    "# Define the horizonatal edge detection kernel\n",
    "horizontal_edge_kernel = torch.tensor([[-1, -1], [1, 1]], dtype=torch.float32)\n",
    "# Conv 2D kernels need to be of shape (out_channel, in_channel, k_x, k_y). Since we are defining a single kernel\n",
    "# out_channel = in_channel = 1. So we unsqueeze to add those extra dimensions\n",
    "horizontal_edge_kernel = horizontal_edge_kernel.unsqueeze(0).unsqueeze(0) \n",
    "horizontal_edge_kernel = horizontal_edge_kernel/ 4\n",
    "print(f\"Kernel shape {horizontal_edge_kernel.shape}\\nKernel: {horizontal_edge_kernel}\")  # 1x1x3x3\n",
    "horizontal_edge_weight = nn.Parameter(data=horizontal_edge_kernel, requires_grad=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "aa3a8796",
   "metadata": {},
   "outputs": [],
   "source": [
    "out_tensor_1 = F.conv2d(img_batch, horizontal_edge_weight, padding=1)\n",
    "img_tensor = out_tensor_1[0][0] \n",
    "img = tensor_to_img(img_tensor)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "aeef4b2d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ret, thresh_img = cv2.threshold(img, 150, 255, cv2.THRESH_BINARY)\n",
    "fig = plt.figure(figsize = (10, 10)) \n",
    "plt.xticks([])\n",
    "plt.yticks([])\n",
    "imgplot = plt.imshow(thresh_img, cmap=\"gray\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
